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Finding the Fourth Proportional to 152,532.46, 228,662.60 and 77,610.70

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Solution

The fourth proportional to 152,532.46, 228,662.60 and 77,610.70 is: 116,346.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,532.46 : 228,662.60 = 77,610.70 : x
  2. Step 2: Convert to fraction form
    152,532.46/228,662.60 = 77,610.70/x
  3. Step 3: Cross multiply
    152,532.46x = 228,662.60 × 77,610.70
  4. Step 4: Simplify right side
    152,532.46x = 17,746,664,449.82
  5. Step 5: Solve for x
    x = 17,746,664,449.82/152,532.46
  6. Step 6: Final answer
    x = 116,346.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.